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Finding the Fourth Proportional to 4,602.47, 6,344.36 and 3,605.97

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Solution

The fourth proportional to 4,602.47, 6,344.36 and 3,605.97 is: 4,970.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.47 : 6,344.36 = 3,605.97 : x
  2. Step 2: Convert to fraction form
    4,602.47/6,344.36 = 3,605.97/x
  3. Step 3: Cross multiply
    4,602.47x = 6,344.36 × 3,605.97
  4. Step 4: Simplify right side
    4,602.47x = 22,877,553.80
  5. Step 5: Solve for x
    x = 22,877,553.80/4,602.47
  6. Step 6: Final answer
    x = 4,970.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.